On the pressure approximation in nonstationary incompressible flow simulations on dynamically varying spatial meshes

• Published in: International journal for numerical methods in fluids Vol. 69; no. 6; pp. 1045 - 1064
• Main Authors: Besier, Michael, Wollner, Winnifried
• Format: Journal Article
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 30.06.2012; Wiley
• Subjects: backward Euler scheme; Computational methods in fluid dynamics; DG method in time; dynamically changing meshes; Exact sciences and technology; Fluid dynamics; Fundamental areas of phenomenology (including applications); incompressible Navier-Stokes equations; Physics; pressure approximation; space-time finite elements; Computational fluid dynamics; space-time finite elements; Digital simulation; Unsteady flow; Finite element method; incompressible Navier―Stokes equations; DG method in time; dynamically changing meshes; Modelling; backward Euler scheme; Incompressible fluid; pressure approximation; Mesh generation; Navier-Stokes equations
• ISSN: 0271-2091; 1097-0363
• DOI: 10.1002/fld.2625

SUMMARY The subject of this paper is a defect in the approximation of the pressure on dynamically changing spatial meshes in the computation of nonstationary incompressible flows. The observed behavior is due to the fact that discrete solenoidal fields lose this property under changes of the spatial discretization. This phenomenon is analyzed for DG finite element discretizations in time, and possible ways are considered to circumvent this problem. Copyright © 2011 John Wiley & Sons, Ltd.